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212222101020 = 223537751127291
BaseRepresentation
bin1100010110100101101…
…1000100011000011100
3202021210010022202011120
43011221123010120130
511434112324213040
6241254332050540
721222030044406
oct3055133043034
9667703282146
10212222101020
1182003930636
1235168903a50
13170214a8807
14a3b33d5b76
1557c14677d0
hex31696c461c

212222101020 has 96 divisors (see below), whose sum is σ = 611099360256. Its totient is φ = 54989280000.

The previous prime is 212222101019. The next prime is 212222101121. The reversal of 212222101020 is 20101222212.

It is a super-2 number, since 2×2122221010202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1603575 + ... + 1730865.

It is an arithmetic number, because the mean of its divisors is an integer number (6365618336).

Almost surely, 2212222101020 is an apocalyptic number.

212222101020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212222101020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305549680128).

212222101020 is an abundant number, since it is smaller than the sum of its proper divisors (398877259236).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

212222101020 is a wasteful number, since it uses less digits than its factorization.

212222101020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128091 (or 128089 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 212222101020 its reverse (20101222212), we get a palindrome (232323323232).

The spelling of 212222101020 in words is "two hundred twelve billion, two hundred twenty-two million, one hundred one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 751 1110 1502 2220 2253 3004 3755 4506 7510 9012 11265 15020 22530 27787 45060 55574 83361 111148 127291 138935 166722 254582 277870 333444 381873 416805 509164 555740 636455 763746 833610 1272910 1527492 1667220 1909365 2545820 3818730 4709767 7637460 9419534 14129301 18839068 23548835 28258602 47097670 56517204 70646505 94195340 95595541 141293010 191191082 282586020 286786623 382382164 477977705 573573246 955955410 1147146492 1433933115 1911910820 2867866230 3537035017 5735732460 7074070034 10611105051 14148140068 17685175085 21222210102 35370350170 42444420204 53055525255 70740700340 106111050510 212222101020